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Groups and FieldsEasyGroups and the Group Axioms

Groups and the Group Axioms · Easy problem

In U(9)={1,2,4,5,7,8}U(9)=\{1,2,4,5,7,8\}, the group of units mod 99 under multiplication, solve 4x≡7(mod9)4x\equiv7\pmod9 for x∈U(9)x\in U(9) by multiplying both sides by the inverse of 44.